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Finding the Fourth Proportional to 2,139.40, 3,229.63 and 2,117.80

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Solution

The fourth proportional to 2,139.40, 3,229.63 and 2,117.80 is: 3,197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.40 : 3,229.63 = 2,117.80 : x
  2. Step 2: Convert to fraction form
    2,139.40/3,229.63 = 2,117.80/x
  3. Step 3: Cross multiply
    2,139.40x = 3,229.63 × 2,117.80
  4. Step 4: Simplify right side
    2,139.40x = 6,839,710.41
  5. Step 5: Solve for x
    x = 6,839,710.41/2,139.40
  6. Step 6: Final answer
    x = 3,197.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.